等效质量模型中的重子质量谱

在等效质量模型框架下，考虑线性禁闭和一阶微扰相互作用的贡献并通过拟合$ \mathrm{p} $、$ \mathrm{n}$、$\Lambda$和$ \Delta $的质量来得到模型参数。发现，等效质量模型能够较好地给出符合实验的重子质量谱。而禁闭强度$D$、强耦合常数$\alpha_{\rm{s}}$以及夸克质量因子$f$与微扰强度$C$之间都存在关联，并能够很好地用解析公式逼近。除此之外，单胶子交换相互作用的色磁部分在重子质量谱中起着重要作用，从而使自旋$J=1/2$和3/2的重子之间的质量差最高达到300 MeV。为了更好地描述超子质量，对于包含奇异夸克的一对夸克间的相互作用我们进一步采用不同的强耦合常数，其具体的模型参数通过拟合$ \Sigma $和$ \Xi $的质量得到。基于本工作得到的等效质量模型参数组，能够更好地描述$ \mathrm{ud}$夸克物质团、奇异子以及致密星。

Baryon Spectra in the Framework of an Equivparticle Model

Based on an equivparticle model incorporating both confinement and leading-order perturbative interactions, we fit the model parameters to the experimental masses of $ \mathrm{p} $, $ \mathrm{n} $, $ \Lambda $, and $ \Delta $. It is found that the equivparticle model well reproduces the mass spectra of light baryons. Distinctive correlations of the confinement strength $D$, the strong coupling constant $\alpha_{\rm{s}}$, and quark mass factor $f$ with respect to the perturbative strength $C$ are obtained, which can be well approximated by analytical formulae. The color-magnetic part of one-gluon-exchange interaction plays a significant role on the mass spectra of light baryons, which causes a mass gap of up to 300 MeV between baryons with spins $J=1/2$ and 3/2. By adopting different strong coupling constants for a pair of quarks with strangeness, the hyperon masses can be better described with the model parameters fitted to the masses of $ \Sigma $ and $ \Xi $. The equivparticle model developed here with constrained parameter sets are then applicable to the investigation of exotic states such as $ \mathrm{ud}$QM nuggets, strangelets, and compact stars.